List some equivalent fractions of

8/13

Equivalent Fractions are found by multiplying
numerator and denominator by a common factor

Check if we can simplify our fraction

GCF (8, 13) = 1

Equivalent Fraction Definition

A fraction of equal value

Multiply top and bottom by 2

                                                                                                        

8 x 2
13 x 2
  =  
  
16
26

Multiply top and bottom by 3

                                                                                                                                                            

8 x 3
13 x 3
  =  
  
24
39

Multiply top and bottom by 4

                                                                                                                                                                                                                

8 x 4
13 x 4
  =  
  
32
52

Multiply top and bottom by 5

                                                                                                                                                                                                                                                                    

8 x 5
13 x 5
  =  
  
40
65

Multiply top and bottom by 6

                                                                                                                                                                                                                                                                                                                        

8 x 6
13 x 6
  =  
  
48
78

Multiply top and bottom by 7

                                                                                                                                                                                                                                                                                                                                                                            

8 x 7
13 x 7
  =  
  
56
91

Multiply top and bottom by 8

                                                                                                                                                                                                                                                                                                                                                                                                                                

8 x 8
13 x 8
  =  
  
64
104

Multiply top and bottom by 9

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

8 x 9
13 x 9
  =  
  
72
117

Multiply top and bottom by 10

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

8 x 10
13 x 10
  =  
  
80
130

Multiply top and bottom by 11

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            

8 x 11
13 x 11
  =  
  
88
143

Multiply top and bottom by 12

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

8 x 12
13 x 12
  =  
  
96
156

Multiply top and bottom by 13

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

8 x 13
13 x 13
  =  
  
104
169

Multiply top and bottom by 14

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

8 x 14
13 x 14
  =  
  
112
182

Multiply top and bottom by 15

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            

8 x 15
13 x 15
  =  
  
120
195

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

8 x 16
13 x 16
  =  
  
128
208

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

8 x 17
13 x 17
  =  
  
136
221

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

8 x 18
13 x 18
  =  
  
144
234

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            

8 x 19
13 x 19
  =  
  
152
247

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

8 x 20
13 x 20
  =  
  
160
260

Some equivalent fractions for 8/13 are:


{16/26, 24/39, 32/52, 40/65, 48/78, 56/91, 64/104, 72/117, 80/130, 88/143, 96/156, 104/169, 112/182, 120/195, 128/208, 136/221, 144/234, 152/247, 160/260}


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Test Your Knowledge?
  1. An equivalent fraction is found by multiplying numerator and denominator by a ______ factor
Common Core State Standards In This Lesson
3.NF.A.3, 3.NF.A.3.A, 3.NF.A.3.B, 4.NF.C.5
What is the Answer?
{16/26, 24/39, 32/52, 40/65, 48/78, 56/91, 64/104, 72/117, 80/130, 88/143, 96/156, 104/169, 112/182, 120/195, 128/208, 136/221, 144/234, 152/247, 160/260}
How does the Equivalent Fractions Calculator work?
Free Equivalent Fractions Calculator - Given a fraction, this will determine equivalent fractions
This calculator has 1 input.
What 3 formulas are used for the Equivalent Fractions Calculator?
Start with fraction n/d
Let i = 2 through 10
Multiply n and d by i to get your new equivalent fraction
What 5 concepts are covered in the Equivalent Fractions Calculator?
denominator
The bottom portion of a fraction. For a/b, b is the denominator
equivalence
the state or property of being equivalent.
equivalent
equal in value, amount, function, meaning
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
numerator
the number above the line in a common fraction
Example calculations for the Equivalent Fractions Calculator
  1. Equivalent Fraction 1/2
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  3. Equivalent Fraction 1/4
  4. Equivalent Fraction 1/5
  5. Equivalent Fraction 1/6
  6. Equivalent Fraction 1/7
  7. Equivalent Fraction 1/8
  8. Equivalent Fraction 1/9
  9. Equivalent Fraction 1/10
  10. Equivalent Fraction 1/11
  11. Equivalent Fraction 1/12
  12. Equivalent Fraction 1/13
  13. Equivalent Fraction 1/14
  14. Equivalent Fraction 1/15
  15. Equivalent Fraction 1/16
  16. Equivalent Fraction 2/3
  17. Equivalent Fraction 2/4
  18. Equivalent Fraction 2/5
  19. Equivalent Fraction 2/6
  20. Equivalent Fraction 2/7
  21. Equivalent Fraction 2/8
  22. Equivalent Fraction 2/9
  23. Equivalent Fraction 2/10
  24. Equivalent Fraction 2/11
  25. Equivalent Fraction 2/12
  26. Equivalent Fraction 2/13
  27. Equivalent Fraction 2/14
  28. Equivalent Fraction 2/15
  29. Equivalent Fraction 2/16
  30. Equivalent Fraction 3/4
  31. Equivalent Fraction 3/5
  32. Equivalent Fraction 3/6
  33. Equivalent Fraction 3/7
  34. Equivalent Fraction 3/8
  35. Equivalent Fraction 3/9
  36. Equivalent Fraction 3/10
  37. Equivalent Fraction 3/11
  38. Equivalent Fraction 3/12
  39. Equivalent Fraction 3/13
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  42. Equivalent Fraction 3/16
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  44. Equivalent Fraction 4/6
  45. Equivalent Fraction 4/7
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  47. Equivalent Fraction 4/9
  48. Equivalent Fraction 4/10
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  51. Equivalent Fraction 4/13
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  55. Equivalent Fraction 5/6
  56. Equivalent Fraction 5/7
  57. Equivalent Fraction 5/8
  58. Equivalent Fraction 5/9
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  60. Equivalent Fraction 5/11
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  65. Equivalent Fraction 5/16
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  67. Equivalent Fraction 6/8
  68. Equivalent Fraction 6/9
  69. Equivalent Fraction 6/10
  70. Equivalent Fraction 6/11
  71. Equivalent Fraction 6/12
  72. Equivalent Fraction 6/13
  73. Equivalent Fraction 6/14
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  75. Equivalent Fraction 6/16
  76. Equivalent Fraction 7/8
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  78. Equivalent Fraction 7/10
  79. Equivalent Fraction 7/11
  80. Equivalent Fraction 7/12
  81. Equivalent Fraction 7/13
  82. Equivalent Fraction 7/14
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  84. Equivalent Fraction 7/16
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  86. Equivalent Fraction 8/10
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  89. Equivalent Fraction 8/13
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  93. Equivalent Fraction 9/10
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  100. Equivalent Fraction 10/11
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  102. Equivalent Fraction 10/13
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Equivalent Fractions Calculator Video

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